000297 Music in Winter

Artist: Charles Brian Orner

Item: Limited edition drawing, numbered and signed by the artist.

Edition: This is item number 1 of 19 in this limited edition.

Subject: Abstract

Year Created: 2020

Details: A few years ago I became interested in the tiling that covers the surfaces of mosques--especially the domes, which can be overwhelmingly spectacular. These designs are amazingly intricate and detailed, but the work generally favors regular polygons with sides that can be easily divided into equal parts, such as triangles, squares, and hexagons. One shape was conspicuously absent, however: the heptagon. Why? I decided to find out.

As a technical matter, heptagons, or seven-sided polygons, do not tile the plane without either leaving gaps or overlapping. This is known as the "impossibility theorem" of tiling, which was proven by mathematician Karl Reinhardt in 1918.

Undeterred, I set about experimenting with equilateral heptagons to see if I could generate a repeating pattern that would work as a tiled surface. The answer, eventually, was yes. The basic unit consists of six heptagons surrounding two conjoined pentagons. I overlaid some additional elements for visual interest, and this image was the result.

Predominant Colors: Black and White

Aspect Ratio: Portrait

Shape: Rectangle

Framing: This piece is unframed.

Print Sizes:
Small: 8" x 10", Price: $208
Medium: 10" x 13", Price: $324
Standard: 13" x 17", Price: $541
Large: 16" x 20", Price: $764
Wall: 17" x 23", Price: $849
Mural: 19" x 25", Price: $888
Maximum: 26" x 34", Price: $1239

Shipping: This item can be shipped anywhere in the United States. Please contact me separately for international shipping. Additional charges may apply.

Availability: This piece will be prepared and shipped on demand.